Compact Filters

A multidimensional implementation of a high-order compact finite-difference filter

In this contribution, I submitt an extensible class object that exemplifies the implemention the 10th-order filter by Gaitondel [2] in 1D, 2D and 3D.

A small test is also provided to show how to use this filter it on a well-kwon 2D surface function.

Refs.:

[1] Bogey, Christophe, and Christophe Bailly. "On the application of explicit spatial filtering to the variables or fluxes of linear equations." Journal of Computational Physics 225.2 (2007): 1211-1217.

[2] M.R. Visbal, D.V. Gaitonde, High-order-accurate methods for complex unsteady subsonic flows, AIAA J. 37 (10) (1999) 1231–1239.